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Speedy Sidney

Two trains set off at the same time from each end of a single straight railway line. A very fast bee starts off in front of the first train and flies continuously back and forth between the two trains. How far does Sidney fly before he is squashed between the two trains?

Rule of Three

If it takes four men one day to build a wall, how long does it take 60,000 men to build a similar wall?

Digital Times

Which segment on a digital clock is lit most each day? Which segment is lit least? Does it make any difference if it is set to 12 hours or 24 hours?

Thousands and Millions

Age 11 to 14 Challenge Level:

Do human beings live for as long as a million hours?

If you have been alive for a million seconds, how many birthdays have you had?

What year was it one billion minutes ago?

How long would it take to count to a million?

Suppose you were worth your weight in £1 coins. How much would you be worth?

Could you fit the population of London into one hundred thousand double-decker buses?

Could you run one thousand metres in one minute?

Could you eat exactly one tonne of food in a year without altering your weight dramatically?

Could you walk as much as one hundred thousand miles during your lifetime?

Could one thousand drink cans fit into one cubic metre?

The questions are taken from Tony Gardiner's Maths Challenge, Book 1, Oxford University Press 2000.